Sato-Tate group search results

Results (11 matches)

 

Label	Wt	Deg	$\mathrm{dim}_{\mathbb{R}}$	$\mathrm{G}^0$	Name	$\mathrm{G}/\mathrm{G}^0$	$\mathrm{Pr}[t\!=\!0]$	$\mathrm{E}[a_1^2]$	$\mathrm{E}[a_1^4]$	$\mathrm{E}[a_1^6]$	$\mathrm{E}[a_1^8]$	$\mathrm{E}[a_1^{10}]$	$\mathrm{E}[a_1^{12}]$	$\mathrm{E}[a_2]$	$\mathrm{E}[a_2^2]$	$\mathrm{E}[a_2^3]$	$\mathrm{E}[a_2^4]$	$\mathrm{E}[a_2^5]$	$\mathrm{E}[a_2^6]$	$\mathrm{E}[a_3^2]$	$\mathrm{E}[a_3^4]$	$\mathrm{E}[a_3^6]$	Maximal	Rational	Diagonal
1.4.D.4.1a	$1$	$4$	$2$	$\mathrm{U}(1)\times\mathrm{U}(1)$	$F_{ac}$	$4$	$3/4$	$1$	$9$	$100$	$1225$	$15876$	$15876$	$1$	$3$	$10$	$41$	$186$	$912$				✓	✓	$[1, 1, 2, 4, 6, 5, 7, 19, 20, 11]$
1.4.F.12.4a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(D_3)$	$12$	$3/4$	$1$	$9$	$110$	$1505$	$21546$	$21546$	$1$	$4$	$10$	$48$	$216$	$1153$					✓	$[1, 1, 3, 5, 7, 11, 9, 29, 31, 30]$
1.4.F.12.4b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{6,1}$	$12$	$3/4$	$1$	$9$	$110$	$1505$	$21546$	$21546$	$1$	$4$	$11$	$48$	$221$	$1153$					✓	$[1, 1, 3, 5, 7, 9, 9, 27, 31, 22]$
1.4.F.16.11a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(D_4)$	$16$	$13/16$	$1$	$9$	$100$	$1260$	$17136$	$17136$	$1$	$4$	$10$	$45$	$191$	$973$					✓	$[1, 1, 3, 5, 6, 10, 7, 23, 24, 25]$
1.4.F.24.14a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(D_6)$	$24$	$19/24$	$1$	$9$	$100$	$1225$	$15876$	$15876$	$1$	$4$	$10$	$44$	$186$	$923$				✓	✓	$[1, 1, 3, 5, 6, 9, 7, 21, 20, 20]$
1.6.N.72.39a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(E(36))$	$72$	$11/18$	$1$	$9$	$210$	$6405$	$206766$	$206766$	$1$	$3$	$20$	$227$	$2966$	$40442$	$4$	$672$	$214870$		✓	$[1, 1, 2, 3, 4, 18, 24, 35, 61, 35, 14, 127, 172, 401, 822, 447, 445, 1118, 986, 329]$
1.6.N.72.40a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(36))$	$72$	$11/18$	$1$	$9$	$210$	$6405$	$206766$	$206766$	$1$	$4$	$24$	$240$	$3006$	$40563$	$4$	$672$	$214870$		✓	$[1, 1, 3, 3, 5, 18, 25, 41, 61, 38, 14, 128, 172, 401, 822, 447, 458, 1118, 992, 329]$
1.6.N.108.17a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(3,3))$	$108$	$37/54$	$1$	$9$	$170$	$4585$	$141246$	$141246$	$1$	$4$	$22$	$190$	$2166$	$27963$	$4$	$492$	$145410$		✓	$[1, 1, 3, 3, 5, 14, 19, 31, 43, 28, 12, 88, 118, 269, 552, 301, 314, 750, 666, 223]$
1.6.N.144.183a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(6,2))$	$144$	$49/72$	$1$	$9$	$160$	$3955$	$114156$	$114156$	$1$	$4$	$21$	$173$	$1856$	$22793$	$4$	$442$	$115820$		✓	$[1, 1, 3, 3, 5, 13, 18, 27, 35, 28, 10, 71, 100, 208, 420, 240, 238, 582, 513, 196]$
1.6.N.192.956a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(4,4))$	$192$	$2/3$	$1$	$9$	$160$	$3780$	$102186$	$102186$	$1$	$4$	$21$	$171$	$1761$	$20548$	$4$	$423$	$99970$	✓	✓	$[1, 1, 3, 3, 5, 13, 17, 26, 32, 24, 10, 66, 85, 176, 343, 188, 195, 454, 399, 143]$
1.6.N.432.523a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(6,6))$	$432$	$145/216$	$1$	$9$	$160$	$3745$	$97776$	$97776$	$1$	$4$	$21$	$170$	$1731$	$19643$	$4$	$420$	$92540$	✓	✓	$[1, 1, 3, 3, 5, 13, 17, 25, 31, 22, 10, 64, 82, 160, 301, 154, 158, 352, 287, 102]$